Partitioned inverse, off-diagonal row entries: $((GG^\top)^{-1})_{i,j} = -\big((HH^\top)^{-1}Hg\big)_{j}\,((GG^\top)^{-1})_{ii}$

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Partitioned inverse, off-diagonal row entries: $((GG^\top)^{-1})_{i,j} = -\big((HH^\top)^{-1}Hg\big)_{j}\,((GG^\top)^{-1})_{ii}$ · Prove2Me